Suppose a baby food company has determined that its total revenue R for its food is given by R = − x 3 + 39 x 2 + 945 x where R is measured in dollars and x is the number of units (in thousands) produced. What production level will yield a maximum revenue?

35,000 units

Step-by-step explanation:

Total revenue is:

The maximum revenue is attained at the production level for which the derivate of the revenue function is zero:

Since production cannot be negative, revenue will be at a maximum when x = 35, or when the production level is 35,000 units.

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )

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